Abstract
The generalized uncertainty principle (GUP) is a generalization of the Heisenberg principle motivated by several theories of quantum gravity such as string theory. It predicts the existence of a minimal distance and/or maximum momentum. Here, we study some consequences of the GUP in the context of the statistical mechanics of self-gravitating fermions. Using the GUP discretization of phase space, we formulate a gravitational Thomas-Fermi model in consistency with the minimal length prescription and analyse its physical consequences.
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